ON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE

Abstract

In this paper, we define the new sequence spaces c(0)(lambda)(u), c(lambda)(u) and l(infinity)(lambda)(u), where lambda = (lambda(k))(k=0)(infinity) is a strictly increasing sequence of positive reals tending to infinity, u = (u(n)) is a sequence of complex numbers. A transforms of these spaces are in the spaces c(0)(u), c(u) and l(infinity)(u), respectively. We also establish some inclusion relations between these spaces which are BK-spaces.